基于连续束缚态的高品质因子双波长Fano共振

王琳; 董繁龙

doi:10.37188/CO.2022-0166

基于连续束缚态的高品质因子双波长Fano共振

doi: 10.37188/CO.2022-0166

王琳^1,,
董繁龙^2, ,

1.
衢州职业技术学院信息工程学院, 浙江衢州 324000
2.
深圳技术大学先进光学精密制造技术广东普通高校重点实验室, 广东深圳 518118

基金项目: 国家自然科学基金（No. 61575008）；深圳市博士后科研资助项目（No. 202028555301027）;衢州市指导性科技攻关项目（No. 2021076）

详细信息

作者简介:
王　琳（1984—），女，江苏徐州人，硕士，讲师，2009年于南京邮电大学获得硕士学位，主要从事高性能传感器研发及在工业领域的应用。E-mail：cindw@126.com

董繁龙（1987—），男，江苏徐州人，博士，副教授，2016年于北京工业大学获得博士学位，主要从事高功率半导体激光器及超材料的研究。E-mail：dongfanlong@sztu.edu.cn

中图分类号: S220.4
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出版历程
- 收稿日期: 2022-07-18
- 修回日期: 2022-08-15
- 录用日期: 2022-11-11
- 网络出版日期: 2023-02-09

High quality factor dual wavelength Fano resonance based on continuous bound states

WANG Lin^1
,,
DONG Fan-long^{2
, ,}

1.
College of Information Engineering, Quzhou College of Technology, Quzhou 324000, China
2.
Key Laboratory of Advanced Optical Precision Manufacturing Technology of Guangdong Higher Education Institutes, Shenzhen Technology University, Shenzhen 518118, China

Funds: Supported by National Natural Science Foundation of China (No. 61575008); Shenzhen Postdoctoral Scientific Research Funding Project (No. 202028555301027); Quzhou Guiding Science and Technology Research Project (No. 2021076)

More Information

Corresponding author: dongfanlong@sztu.edu.cn

摘要

摘要:
为了提高品质因子（Quality value，Q）以增强光与物质的耦合作用，本文提出一种结构简单、工艺制备要求低的介质超材料，它可激发对称保护的连续介质束缚态（bound states in the continuum , BICs）。该介质超材料具有四聚孔组成的平面纳米孔板，通过改变纳米孔的位置，可使对称保护BIC转变为对称保护的QBIC，进而诱导出两个高品质因子Q值Fano共振。经计算Fano共振在非对称参数Δ=3 nm时，Q值可达到1×e⁶。随后将QBIC和Fano共振的远场辐射分解为不同多极子分量的贡献，基于散射功率和电场矢量分布可以发现，介质超材料在λ₁出现高Q值Fano共振主要是因为磁四极子和环偶极子的存在，而在λ₂出现高Q值Fano共振主要是因为环偶极子的存在。最后分析计算了纳米孔边长和纳米孔填充材料对两个Fano共振的影响。本文的研究可以为研究制备高Q值光学响应器件提供理论指导。
- 连续介质束缚态 /
- 介质超材料 /
- Fano共振 /
- 品质因子
Abstract:
In order to improve the quality value (Q) to enhance the coupling between light and matter. In this paper, a dielectric metamaterial with simple structure, low fabrication requirements was proposed. It can excite symmetric protected bound states in the continuum (BICs). The dielectric metamaterial has a planar nanopore plate composed of tetrameric pores. By changing the position of the nanopores, the symmetrical protection BIC can be transformed into the symmetrical protection quasi BIC(QBIC), and then two high Q value Fano resonances can be induced. Through simulation calculation, the Fano resonance Q value can reach 1×e⁶ when Δ=3 nm. Then, the far-field radiation of QBIC and Fano resonance is decomposed into the contributions of different multipole components. Based on the scattering power and electric field vector distribution, it can be found that the dielectric metamaterials λ₁ Fano resonance with high Q value is mainly due to magnetic quadrupole and toroidal dipole, while λ₂ Fano resonance has high Q value is mainly due to the toroidal dipole. Finally, the influence of nanopore side length and nanopore filling material on the two Fano resonances is analyzed and calculated. The research in this paper can provide theoretical guidance for the future research and preparation of high Q value optical response devices.
- bound states in the continuum /
- dielectric metamaterial /
- Fano resonance /
- quality value

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图 1 介质超材料结构示意图

Figure 1. Schematic diagram of medium metamaterial structure

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图 2 介质超材料制备工艺流程

Figure 2. Preparation process of dielectric metamaterials

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图 3 (a)非对称参数对介质超材料透射光谱的影响；(b) 不同偏振对透射光谱的影响

Figure 3. (a)Influence of asymmetric parameters on transmission spectrum of dielectric metamaterials; (b) influence of different polarization on transmission spectrum

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图 4 介质超材料分别在两个波长λ₁和λ₂处的电场分布。（a）λ₁的x-y面电场；（b）λ₁的z-y面电场；（c）λ₂的x-y面电场；（d）λ₂的z-y面电场

Figure 4. Electric field distributions of dielectric metamaterials at two wavelengths λ₁ and λ₂, respectively. (a)x-y electric field (λ₁); (b) z-y electric field (λ₁); (c) x-y electric field (λ₂); (d) z-y electric field (λ₂)

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图 5 Fano共振曲线拟合

Figure 5. Fano resonance curve fitting

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图 6 非对称参数对Q值的影响

Figure 6. Influence of asymmetric parameters on Q value

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图 7 （a）和（b）分别是超材料在两个Fano共振波长附近的多极子散射功率；（c）和（d）分别是超材料在两个Fano共振波长处的电场矢量分布

Figure 7. (a) and (b) are the multipole scattering powers of metamaterials near the two Fano resonance wavelengths, respectively; (c) and (d) are the electric field vector distributions of metamaterials at two Fano resonance wavelengths, respectively

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图 8 结构参数对超材料共振波长的影响。（a）纳米孔边长r；（b）纳米孔填充材料折射率n₁

Figure 8. The influence of structural parameters on the resonant wavelength of metamaterials. (a) Nano pore side length r; (b) refractive index n₁ of nano pore filling material

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